Part 3: Find the distance between the two locations to the nearest mile. Show your work and final answer with units. (2 points). Remember your angle needs to be in radians when you compute arc length. Although Earth is not a perfect sphere, assume that it is for the purpose of this portfolio and use the formula for the arc length of a segment of a great circle on a sphere, s=rtheta, to find the distance between your two locations. In this case, r is the radius of Earth, which is approximately 3,963.2 miles.Find the distance between your two locations.
To find the distance between the two locations, we need to calculate the arc length of the segment of the great circle on the sphere (Earth) that connects the two points.
Given that the radius of Earth, r = 3,963.2 miles, and the angle between the two locations, in radians, is approximately 0.67 radians.
Using the formula for arc length, s = rθ, we have:
s = 3,963.2 * 0.67
s ≈ 2,654.424 miles
Therefore, the distance between the two locations is approximately 2,654 miles.